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Amari had \(\frac{8}{3}\) yards each of pink ribbon and blue ribbon. She cut the pink ribbon into \(\frac{1}{6}\)-yard pieces. She cut the blue ribbon into \(\frac{1}{9}\)-yard pieces.

What is true about the number of pieces of ribbon Amari cut?

A. Fewer pieces of blue ribbon than pink ribbon.
B. The same number of pieces of blue ribbon as pink ribbon.
C. More pieces of blue ribbon than pink ribbon.
D. Impossible to determine from the given information.

Answer :

Final answer:

Amari cut the pink ribbon into 48 pieces and the blue ribbon into 72 pieces. Therefore, she cut the blue ribbon into more pieces than the pink ribbon.

Explanation:

This problem involves the concept of fractions and division in mathematics. In order to determine the number of pieces each ribbon was cut into, we need to divide the total length of each ribbon by the length of each piece.

For the pink ribbon, Amari had a total of 2 2/3 yards. If we convert this to an improper fraction, we have 8/3 yards. She cut the pink ribbon into 1/6-yard pieces. To find the number of pieces, we divide the total length by the length of each piece: 8/3 ÷ 1/6 = 48. Therefore, Amari cut the pink ribbon into 48 pieces.

For the blue ribbon, Amari had a total of 2 2/3 yards, or 8/3 yards, like the pink ribbon. She cut the blue ribbon into 1/9-yard pieces. Again, we divide the total length by the length of each piece: 8/3 ÷ 1/9 = 72. Therefore, Amari cut the blue ribbon into 72 pieces.

Comparing the results, we see that option c) 'More pieces than the pink ribbon' is correct. The number of blue pieces is greater than the number of pink pieces because each blue piece is smaller than each pink piece.

Learn more about Fractions and Division here:

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